4 x 10 to the power of 5

Answer:

True statements:  a, c and d

Step-by-step explanation:

The x-intercept of the line would be negative.  As it is impossible to make a negative number of calls, the x-intercept is meaningless.

To find the amount that Ms Padilla is charged per minute, find the slope of the line by substituting the two given points into the slope formula:

[tex]\implies \sf Slope=\dfrac{Change\;in\;y}{Change\;in\;x}=\dfrac{21-16}{125-0}=\dfrac{5}{125}=0.04[/tex]

Therefore, Ms Padilla is charged $0.04/min.

From inspection of the graph, the y-intercept is (0, 16).

Therefore, Ms Padilla pays $16 for the months she makes 0 minutes of calls.

The domain of the function is (-∝,∝) and the range is (3,∝) .

We know that the given function is of the form [tex]y=4^x+3\\[/tex] .

So the possible values of x or the domain will be all real values of x.

Now we know from the properties of indices that for all and any real value of x , [tex]4^x > 0[/tex] so the value of y will always be greater than 3 .

For higher values of x the value of y will be higher.

So the range of the function will include all real values greater than 3

The incoming dataset that a function will accept is its domain in mathematics. Domain(f), where f stands for the operation, is another way to express it.

The relationship between the dependent variable y and the regression coefficient x defines the function

A value is said to be in the domain of a function f if it successfully facilitates the production of a sharp number y using another value for x.

So domain : {x | x∈(-∝,∝)}

range : {y | y∈ (3,∝)}

Hence the domain of the function is  {x | x∈(-∝,∝)} and the

range is {y | y∈ (3,∝)} .

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As per the compound inequality, the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest is 83 ≤ (82 + 84 + n)/3 ≤ 87; 83 ≤n ≤ 95.

Compound inequality:

A compound inequality is an inequality that merges two inequalities either by using "and" or "or".

Given,

In the recycling contest, you must collect between 83 and 87 pop tabs each week, inclusive for winning.

And suppose you collected 82, and, 84 pop tabs during the first two weeks of competition.

Here we nee to find the possible values for the number of pop tabs that need to be collected during the third and final week of the competition in order to win the contest.

Let us consider n be the number of pop tabs.

So, it can be written using the compound inequality,

=> 83 ≤ (82 + 84 + n) /3 ≤ 87

To cancel the fraction we have to multiply 3 with all of them, then we get,

=> 83 x 3 ≤ (82 + 84 + n) ≤ 87 x 3

=>  249 ≤ (166 + n) ≤ 261

To find the value of n we have to subtract 166, then we get,

=>  249 - 166 ≤  n ≤ 261 - 166

=> 83 ≤ n ≤ 95

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[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{6 +3}{2 +4} \implies \cfrac{ 9 }{ 6 } \implies {\Large \begin{array}{llll} \cfrac{ 3 }{ 2 } \end{array}}[/tex]

Answer:

D

Step-by-step explanation:

Function f is adding to function g, therefore combine the two into one and combine like terms to solve.

The first term of the sequence is 68.

The term to term rule of a sequence is halve then add 10.

The 2nd term of the sequence is 44.

Therefore, the first term of the sequence can be calculated as follows:

let

the first term = x

Hence, the rule to get the next term in the sequence is as follows:

1 / 2 x + 10 = 44

1 / 2 x  = 44 - 10

1 / 2x  = 34

cross multiply

x = 34 × 2

x = 68

Therefore, the first term is 68.

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Answer:

108

Step-by-step explanation:

Like addition equations, the terms in multiplication equations can be arranged in any way and still return the same result. For example, 2 × 3 = 6, but 3 × 2 also equals 6. The same goes for 108 × 137, which can be written as 137 × 108.

To further confirm this, you can simply divide 14796 by 137, which results in 108.

Answer:

108

Step-by-step explanation:

any 2 numbers multiplied with eachother the answer is always the same. for eg:- 1×2=2 2×1=2

so, if 108 × 137 = 14796

then 137 × 108 = 14796

Remember that

If the sum of two angles is equal to 180 degrees, then the angles are supplementary

so

In this problem

Let

x ----> the missing angle

x+34.6 =180 degrees -----> by form a linear pair (supplementary angles)

solve for x

x=180-34.6

Using the exponential distribution, it is found that the proportion of the population that will visit an emergency room in the next six months is of 0.1813 = 18.13%.

The exponential probability distribution, with mean m, is described by the following mass function:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In this function, [tex]\mu = \frac{1}{m}[/tex] represents the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

The solution of the definite integral gives the cumulative mass function as follows:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

In this problem, the mean is of 2.5 years, hence the decay parameter is calculated as follows:

[tex]\mu = \frac{1}{2.5} = 0.4[/tex]

The proportion of the population that will visit the emergency room in the next six months is P(X < 0.5), as 6 months = 0.5 years, hence:

[tex]P(X \leq 0.5) = 1 - e^{-0.4 \times 0.5} = 0.1813.[/tex]

The problem asks for the proportion of the population that will visit an emergency room in the next six months.

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Answer:

y = 3(x - [tex]\frac{4}{3}[/tex] )² + [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

given

y = 3x² - 8x + 13

using the method of completing the square

the coefficient of the x² term must be 1 so divide first 2 terms by 3

y = 3(x² - [tex]\frac{8}{3}[/tex] x) + 13

add/subtract ( half the coefficient of the x- term )² to x² - [tex]\frac{8}{3}[/tex] x

y = 3(x² + 2(- [tex]\frac{4}{3}[/tex] )x + [tex]\frac{16}{9}[/tex] - [tex]\frac{16}{9}[/tex] ) + 13

  = 3(x - [tex]\frac{4}{3}[/tex] )² + 3(- [tex]\frac{16}{9}[/tex] ) + 13

  = 3(x - [tex]\frac{4}{3}[/tex] )² - [tex]\frac{16}{3}[/tex] + [tex]\frac{39}{3}[/tex]

  = 3(x - [tex]\frac{4}{3}[/tex] )² + [tex]\frac{23}{3}[/tex] ← in vertex form

Answer:

x = 241 1/3
    ————
      5 1/3

Step-by-step explanation:

Answer:

x = ^3(square root )of 18075   or 5.24875253...

     -----------------------

              5

Step-by-step explanation:

isolate the variable by deviding each side by factors that dont contain the variable

hope this helped have a good day ^^

Answer:

Step-by-step explanation:

y=34

the angle measures are 20, 136, 24

20+(y-10)+4y=180

simplify/solve for y

The angles which are corresponding to each of the angles listed in the pre-image are as follows;

It follows from the task content that the image attached represents the reflection of a pre-image figure over the vertical, y-axis to form an image.

It follows from definition that; A corresponding angle, put simply is one that holds the same relative position as another angle somewhere else in the same figure or in another (similar/congruent) figure.

Hence, the corresponding angles as evident from the figure vertexes and their equivalent in the image are as follows;

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The modes of the data set are 4, 5, and 6. Hence, the data set has three modes.

The mode is the outcome that happens most commonly when gathering data. A collection of data may have one pattern, numerous patterns, or absolutely no patterns at all.

A class of 20 students has one week to complete a math assignment of 30 questions.

The following number of questions had been answered by the pupils by the end of the first day:

5, 7, 4, 6, 1, 8, 9, 4, 4, 5, 10, 4, 6, 5, 3, 6, 5, 6, 0, 2

When the above data set is arranged in ascending order:

0, 1, 2, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10

In the data set, 4 appears four times, 5 appears four times, and 6 appears four times.

Therefore, the mode of the data set is 4, 5, and 6.

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The complete question is mentioned below:

Mark this quest A class of 20 students have one week to complete a math assignment of 30 questions. At the end of the first day, the students had completed the following number of questions: 5, 7, 4, 6, 1, 8, 9, 4, 4, 5, 10, 4, 6, 5, 3, 6, 5, 6, 0,2 How many modes are in the given data set? ​

The value of x = 6 of the given expression '13x-11+8x-25 = 90' using the two-column proof.

So, the value of x:

(Refer to the image attached below)

Therefore, the value of x = 6 of the given expression using the two-column proof.

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Answer: UNDEFINED

Step-by-step explanation:

x=-5y+4      5y=-x+4       y=-1/5x+4/5

3x+15y= -1    15y=-3x-1    y=-1/5x-1/15

COMBINED: -1/5x+4/5=-1/5x-1/15 FIND COMMON DENOMINATOR=15

-3/15x=-3/15x-13/15

0=-13/15    UNDEFINED

Answer:

Elle pourra réaliser 8 bouquets :

Chaque bouquet aura 2 fleurs rouges et 3 fleurs jaunes.

Explication:

Sara veut évidemment utiliser toutes les fleurs pour qu'il n'en reste pas. Elle doit trouver un nombre qui se divise en 16 et 24,

C'est juste une manière indirecte d'utiliser le HCF de 16 et 24, qui est 8.

16

=

2

×

8

24

=

3

×

8

Elle pourra réaliser 8 bouquets :

Chaque bouquet aura 2 fleurs rouges et 3 fleurs jaunes.

Step-by-step explanation:

Step-by-step explanation:

1) gradient: select two points on the line preferably further apart then substitute into gradient formula.

chosen points: A(0,3) B(6,0) remembering layout is (x,y)

gradient formula:

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

[tex] \frac{3 - 0}{0 - 6} [/tex]

= 3/-6

gradient = 1/-3

y-intercept= 3 (the y-intercept is where x=0)

After plotting the equation on the graph, we know that the value of |x| on line "(x + 2)2" is  -0.125 and 0.142.

So, solving "|x| +31-1 = (x + 2)2" by graph:

(Refer to the graph attached below)

Therefore, after plotting the equation on the graph, we know that the value of |x| on line "(x + 2)2" is  -0.125 and 0.142.

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The following proof of complementary angle is given below:

it is given that <1 and <2 are complementary and <2 and <3 are complementary. By the definition of complementary angle , m<1 + m<2 = 90 degrees and m<2 + m<3 =90 degrees. By the substitution property, m<1 + m<2 = m<2 + m<3.

Then, m<1 = m<3 by the subtraction property. Therefore, <1 congruent <3 by the complementary angle.

Complementary angle is a pair of angles that sum to a right angle. A right angle is half of the angle formed by a single straight line which is equivalent to 90 degrees.

Given: <1 and <2 are complementary and <2 and <3 are complementary.

prove: <1 congruent <3

The proof of <1 congruent <3 is m<1 + m<2 = m<2 + m<3 by substitution effect and m<1 = m<3 by Subtraction effect

Therefore, the proof of <1 congruent <3 is given by <1 and <2 are complementary and <2 and <3 are complementary.

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hello

let's get the functions out first

The reason for the required step using property of equality are as follow:

1.  Subtraction property of equality.

2. Subtraction property of equality.

3.  Addition property of equality.

As given in the question,

The reason for the required step using property of equality are as follow:

1. 3x + 3 = 5 + x

3x - x + 3 = 5

2x + 3 = 5

Here

Subtraction property of equality is applied.

If x, y, and z are real numbers and x = y

then

x - z = y - z

2. 2x + 3 = 5

2x = 5-3

2x = 2

Here Subtraction property of equality is applied.

If a, b, and c are real numbers and a = b, then

a - c = b - c

3. -x - 1 = 3

-x = 3 + 1

-x = 4

Here Addition property of equality is applied.

If x, y and z are real numbers and x = y, then

x + z = y + z

Therefore, the reason for the required step using property of equality are as follow:

1.  Subtraction property of equality.

2. Subtraction property of equality.

3.  Addition property of equality.

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The fractional equivalent of the repeating decimal n = 0.15.15.. is

15/99. And the number represented by n has two repeating digits that is 15.

Given, repeating decimal n = 0.1515..

We must come up with a strategy to eliminate the recurring portion before converting what is left into a fraction. We can benefit from the repetition on our behalf.

set x = 0.151515 ...eq(1)

the 15 is a recurring number means that those two digits keep repeating forever.

so

100x = 15.151515..  eq(2)

Subtract eq(2) from eq(1).

100x = 15.151515

 x     = 0.151515

we get, 99x = 15

hence x = 15/99

Therefore, the equivalent of the repeating decimal is 15/99.

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3 1/2 times Anna needs to fill the measuring cup.

Given,

She is using a 1/4 cup measuring cup to measure 7/8 cup of turnips

Solution:

Since she is using a 1/4 cup measuring cup, divide 7/8 cups by 1/4.

7/8 /1/4 = 7/8 * 4/1

= 7/2

= 3 1/2 times.

Therefore,

3 1/2 times Anna needs to fill the measuring cup.

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distanceSolution:

Given that a toy car placed on the floor travels at a constant acceleration for 3 seconds reaching a velocity of 4v m/s, we have

It slows down with a constant deceleration of 0.5 m/s² for 4 seconds before hitting a wall and stopping. This is as shown below:

Thus, the velocity-time graph for the toy car is as shown below:

The total distance traveled by the toy car is evaluated by calculating the area of the triangle ABC. Thus,

Hence, the

Answer:

49 runners.

Step-by-step explanation:

Hello! Let's help you there!

So, to start, it looks like you have the basis of what you're trying to accomplish and it seems like you're almost there too!

So you know that it's the percentage you need to figure out and divide by 100, it's the second numerator that you're trying to figure out. Since we don't necessarily know what the is/part of the equation, we can use a variable to be able to figure out what the is/part well, is.

When we set it up, it's as such:

[tex]\frac{28}{100}=\frac{x}{175}[/tex]

We're going to be using the letter x, to represent the unknown number that we're trying to figure out.

In order to solve it, we first cross-multiply. We take the numerator of the first fraction and multiply it by the denominator of the second fraction and the exact same for the denominator of the first fraction and the numerator of the second fraction. So we get:

[tex]28*175=100x[/tex]

Now we can evaluate [tex]28*175[/tex] and simplify that down to:

[tex]28*175=4900[/tex]

Now it becomes:

[tex]4900=100x[/tex]

In order to figure out our mystery value, we want to get rid of the 100 in front of the x. Since it is multiplied to x, we can divide it by 100 to get rid of the 100 in front of the x, but at the same time, we must divide it as well on the other side, so it becomes:

[tex]\frac{4900}{100} =\frac{100x}{100}[/tex]

Now the answer becomes:

[tex]49=x[/tex]

Therefore, our mystery value is 49 runners stopped to take a drink!

The value of expression |2x+5| - 8y is -89 when x = -6 and y =12

Expression is a combination of numbers, variables and Operators.

The given expression is mod two x plus 5 minus eight y.

|2x+5| - 8y

This expression has addition, subtraction and multiplication operators.

Given value of x is minus six and y is equal to twelve.

x=-6 and y=12

plug in values of x and y in expression

|2(-6)+5|-8(12)

|-12+5|-96

|-7|-96

The value in mod will be always taken as positive

7-96

-89

Hence the value of expression |2x+5| - 8y is -89 when x = -6 and y =12.

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The values for representing probabilty must be greater or equal to zero and less or equal to one.

So, the values which cannot be probabilities would be:

-0.05 ( It is less than zero)

1.48 (It is greater than one)

7/2 (It is greater than one)

-1/4 ( It is less than zero)